Question

Choose four consecutive whole numbers, for example, 4, 5, 6 and 7.

Multiply the first and last numbers together (28).
Multiply the middle pair together (30).
Choose different sets of four consecutive whole numbers and do the same.
What do you notice about the difference between the two products each time?

Answer 1

When choosing four consecutive whole numbers and multiplying the first and the last numbers together and the middle pair together, the difference between the two products is always the same.

Step-by-step explanation:

When choosing four consecutive whole numbers and multiplying the first and the last numbers together and the middle pair together, we can observe that the difference between the two products is always the same. To understand this, let's take an example. Say we have the numbers 4, 5, 6, and 7. The product of the first and last numbers is 4 * 7 = 28, and the product of the middle pair is 5 * 6 = 30. The difference between these two products is 30 - 28 = 2. If we choose any other set of four consecutive whole numbers, we will always get the difference of 2 between the two products.